Question

[Sagittarus]

so sánh:

\(\left(\frac{1}{16}\right)^{250}\)và\(\left(\frac{1}{2}\right)^{1500}\)

Answer 1

[Ác Mộng]

(1/2)¹⁵⁰⁰=(1/2⁶)²⁵⁰=(1/64)²⁵⁰

Do 1/16>1/64 =>(1/16)²⁵⁰>(1/64)²⁵⁰

Vậy (1/16)²⁵⁰>(1/2)¹⁵⁰⁰

Answer 2

[Trần Tuyết Như]

\(\left(\frac{1}{16}\right)^{250}\) và \(\left(\frac{1}{2}\right)^{1500}\)

=> \(\left(\frac{1}{16}\right)^{250}\) và \(\left(\left(\frac{1}{2}\right)^6\right)^{250}\)

=> \(\frac{1}{16}\) và \(\left(\frac{1}{2}\right)^6\)

=> \(\frac{1}{16}\) và \(\frac{1}{64}\)

=>  \(\frac{1}{16}\) >  \(\frac{1}{64}\)  hay  \(\left(\frac{1}{16}\right)^{250}\) >  \(\left(\frac{1}{2}\right)^{1500}\)